378205261824 has 312 divisors, whose sum is σ = 1146400564960. Its totient is φ = 109933756416.

The previous prime is 378205261823. The next prime is 378205261873. The reversal of 378205261824 is 428162502873.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378205261823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071402832 + ... + 1071403184.

Almost surely, 2^378205261824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378205261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573200282480).

378205261824 is an abundant number, since it is smaller than the sum of its proper divisors (768195303136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378205261824 is an equidigital number, since it uses as much as digits as its factorization.

378205261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 378205261824 in words is "three hundred seventy-eight billion, two hundred five million, two hundred sixty-one thousand, eight hundred twenty-four".